Question 16

# Which two signs need to be interchanged to make the following equation correct?$$45 - 9 \div 3 + 5 \times 6 = 32$$

Solution

Given expression $$45 - 9 \div 3 + 5 \times 6 = 32$$
we check option (A) $$\times and \div$$

$$45 - 9 \times 3 + 5 \div 6 = 32$$

From LHS $$45 - 9 \times 3 + 5 \div 6$$

$$\Rightarrow 45 - 27 + 0.833$$

$$\Rightarrow 18 +0.833$$

$$\Rightarrow 18.833$$ RHS it is not staisfied .

check another option $$\div and +$$

$$45 - 9 +3 \div5 \times 6 = 32$$

From LHS $$45 - 9 +3 \div5 \times 6$$

$$\Rightarrow 45 - 9+ 0.6 \times 6$$

$$\Rightarrow 45 -9 + 3.6$$

$$\Rightarrow 36 +3.6$$

$$\Rightarrow 39.6$$ RHS it is not staisfied .

We check  another option $$\times and +$$

$$45 - 9 \div 3 \times 5 + 6 = 32$$    Similar we check it is also not stiasfied .

we check another option $$\div and -$$

$$45 \div 9 - 3 + 5 \times 6 = 32$$

From LHS $$45 \div 9 - 3 + 5 \times 6$$

$$\Rightarrow 5 - 3 +30$$

$$\Rightarrow 35-3$$

$$\Rightarrow 32$$ RHS it is staified.

therefore (D) $$\div and -$$ Ans

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